Question

What is f(x)=∫3xdx if f(2)=7?

Answer 1

★GOOD MORNING★

F ( x ) = integration of 3x dx

F ( x ) = 3x²/2 + c

Where c is called constant of integration

Put x = 2 so, that F ( 2 ) = 7

F ( 2 ) = 3 ( 2 )²/2 + c

7 = 6 + c

c = 1

=>

F ( x ) = 3x²/2 + 1

Answer 2

The answer is provided in the attachment.